In the spirit of the Langlands proposal on Beyond Endoscopy, we discuss the explicit relation between the Langlands functorial transfers and automorphic L-functions. It is well-known that the poles of the L-functions have deep impact to the Langlands functoriality. Our discussion also includes the meaning of the central value of the tensor product L-functions in terms of the Langlands functoriality. This leads to the theory of the twisted automorphic descents for cuspidal automorphic representations of general classical groups.
|Original language||English (US)|
|Number of pages||21|
|Journal||Bulletin of the Iranian Mathematical Society|
|Issue number||4 Special Issue|
|State||Published - Aug 2017|
Bibliographical notePublisher Copyright:
© 2017 Iranian Mathematical Society.
- Automorphic descent
- Automorphic representations
- Langlands functoriality